Calculating Required Torque with Support Arm

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SUMMARY

The discussion focuses on calculating the required torque when a support arm is involved in a system. The torque about a hinge is determined using the equation: (x/2)*m - (y-x/2)*(m/x)*y, where 'm' is the total mass of the arm, 'x' is the length of the arm, and 'y' is the distance from the hinge to the support arm. This formula accounts for the distribution of force due to the arm's mass and its position relative to the hinge, indicating that the support arm reduces the torque required compared to a scenario without it.

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  • Knowledge of basic physics principles related to levers and hinges
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chambo101
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Homework Statement


Just looking for a general response - calculating required torque when there is a supoprt arm like in the attached doc. If there was no arm ... it's just F*d, but I guess the arm supports some of that force, so less torque is required?


Homework Equations





The Attempt at a Solution

 

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I didnt get your diagram, however, if there is an arm of total mass m hanging from a hinge with constant linear mass density of length x, and there is a support arm at a distance y from the hinge, then the total the torque about the hinge would be:

(x/2)*m-(y-x/2)*(m/x)*y.
 

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